4.82. Evaluate the proposed proof of the following result. Result Let x, y e Z. If x = 2(mod 3) and y = 2 (mod 3), then xy = 1 (mod 3). Proof Let x = 2 (mod 3) and y = 2(mod 3). Then a = 3k + 2 and y 3k + 2 for some integer k. Hence, (3k + 2)(3k + 2) = 9k2 + 12k +4 = 9k + 12k + 3+1 3(3k2 + 4k + 1) + 1. xy
4.82. Evaluate the proposed proof of the following result. Result Let x, y e Z. If x = 2(mod 3) and y = 2 (mod 3), then xy = 1 (mod 3). Proof Let x = 2 (mod 3) and y = 2(mod 3). Then a = 3k + 2 and y 3k + 2 for some integer k. Hence, (3k + 2)(3k + 2) = 9k2 + 12k +4 = 9k + 12k + 3+1 3(3k2 + 4k + 1) + 1. xy
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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